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Finding the Fourth Proportional to 64,964.74, 97,368.62 and 31,634.86

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Solution

The fourth proportional to 64,964.74, 97,368.62 and 31,634.86 is: 47,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964.74 : 97,368.62 = 31,634.86 : x
  2. Step 2: Convert to fraction form
    64,964.74/97,368.62 = 31,634.86/x
  3. Step 3: Cross multiply
    64,964.74x = 97,368.62 × 31,634.86
  4. Step 4: Simplify right side
    64,964.74x = 3,080,242,175.25
  5. Step 5: Solve for x
    x = 3,080,242,175.25/64,964.74
  6. Step 6: Final answer
    x = 47,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.